소장자료
LDR | 03642cam a2200000 a | ||
001 | 0100535537▲ | ||
003 | OCoLC▲ | ||
005 | 20211209155956▲ | ||
007 | ta ▲ | ||
008 | 210112t20212021sz a b 001 0 eng c▲ | ||
016 | 7 | ▼aBC06212327▼2JP-ToKJK▲ | |
019 | ▼a1246807169▲ | ||
020 | ▼a9783030690557 (hbk.)▲ | ||
020 | ▼a3030690555▲ | ||
020 | ▼z9783030690564 (ebk.)▲ | ||
035 | ▼a(OCoLC)1230230963▼z(OCoLC)1246807169▲ | ||
040 | ▼aYDX▼beng▼cYDX▼dBDX▼dLEATE▼dOCLCO▼dOCLCF▼dBXM▼dOCLCO▼dLWU▼d221016▲ | ||
050 | 4 | ▼aQA644▼b.A57 2021▲ | |
082 | 4 | ▼a514.74▼223▲ | |
090 | ▼a514.74▼bA321m▲ | ||
100 | 1 | ▼aAlarcón, Antonio.▲ | |
245 | 1 | 0 | ▼aMinimal surfaces from a complex analytic viewpoint /▼cAntonio Alarcón, Franc Forstnerič, Francisco J. López.▲ |
260 | ▼aCham :▼bSpringer,▼c[2021].▲ | ||
300 | ▼axiii, 430 p. :▼bill. (some col.) ;▼c24 cm.▲ | ||
490 | 0 | ▼aSpringer monographs in mathematics ;▼x1439-7382▲ | |
504 | ▼aIncludes bibliographical references and index.▲ | ||
505 | 0 | ▼aFundamentals -- Basics on minimal surfaces -- Approximation and interpolations theorems for minimal surfaces -- Complete minimal surfaces of finite total curvature -- The Gauss map of a minimal surface -- The RiemannHilbert problem for minimal surfaces -- The Calabi-Yau problem for minimal surfaces -- Minimal surfaces in minimally convex domains -- Minimal hulls, null hulls, and currents.▲ | |
520 | ▼a"This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods, many of which have been developed in recent decades as part of the theory of Oka manifolds (the h-principle in complex analysis). It places particular emphasis on the study of the global theory of minimal surfaces with a given complex structure. Advanced methods of holomorphic approximation, interpolation, and homotopy classification of manifold-valued maps, along with elements of convex integration theory, are implemented for the first time in the theory of minimal surfaces. The text also presents newly developed methods for constructing minimal surfaces in minimally convex domains of Rn, based on the RiemannHilbert boundary value problem adapted to minimal surfaces and holomorphic null curves. These methods also provide major advances in the classical CalabiYau problem, yielding in particular minimal surfaces with the conformal structure of any given bordered Riemann surface. Offering new directions in the field and several challenging open problems, the primary audience of the book are researchers (including postdocs and PhD students) in differential geometry and complex analysis. Although not primarily intended as a textbook, two introductory chapters surveying background material and the classical theory of minimal surfaces also make it suitable for preparing Masters or PhD level courses"--Back cover.▲ | ||
650 | 0 | ▼aMinimal surfaces.▲ | |
650 | 0 | ▼aGlobal analysis (Mathematics)▲ | |
650 | 0 | ▼aManifolds (Mathematics)▲ | |
650 | 0 | ▼aFunctions of complex variables.▲ | |
700 | 1 | ▼aForstnerič, Franc.▲ | |
700 | 1 | ▼aLópez, Francisco J.▲ |
![](https://lib.pusan.ac.kr/wp-content/themes/pnul2022/assets/images/default/default_w_279X393.png)
Minimal surfaces from a complex analytic viewpoint
자료유형
국외단행본
서명/책임사항
Minimal surfaces from a complex analytic viewpoint / Antonio Alarcón, Franc Forstnerič, Francisco J. López.
발행사항
Cham : Springer , [2021].
형태사항
xiii, 430 p. : ill. (some col.) ; 24 cm.
총서사항
Springer monographs in mathematics ; 1439-7382
서지주기
Includes bibliographical references and index.
내용주기
Fundamentals -- Basics on minimal surfaces -- Approximation and interpolations theorems for minimal surfaces -- Complete minimal surfaces of finite total curvature -- The Gauss map of a minimal surface -- The RiemannHilbert problem for minimal surfaces -- The Calabi-Yau problem for minimal surfaces -- Minimal surfaces in minimally convex domains -- Minimal hulls, null hulls, and currents.
요약주기
"This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods, many of which have been developed in recent decades as part of the theory of Oka manifolds (the h-principle in complex analysis). It places particular emphasis on the study of the global theory of minimal surfaces with a given complex structure. Advanced methods of holomorphic approximation, interpolation, and homotopy classification of manifold-valued maps, along with elements of convex integration theory, are implemented for the first time in the theory of minimal surfaces. The text also presents newly developed methods for constructing minimal surfaces in minimally convex domains of Rn, based on the RiemannHilbert boundary value problem adapted to minimal surfaces and holomorphic null curves. These methods also provide major advances in the classical CalabiYau problem, yielding in particular minimal surfaces with the conformal structure of any given bordered Riemann surface. Offering new directions in the field and several challenging open problems, the primary audience of the book are researchers (including postdocs and PhD students) in differential geometry and complex analysis. Although not primarily intended as a textbook, two introductory chapters surveying background material and the classical theory of minimal surfaces also make it suitable for preparing Masters or PhD level courses"--Back cover.
주제
ISBN
9783030690557 (hbk.) 3030690555
청구기호
514.74 A321m
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